PUBLISHED PAPERS #04.14
| Adalat Akhundov, Arasta Habibova, Nahid Pashaev. Inverse Problem for a Burgers Type Parabolic Equation |
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| Abstract. The paper considers the inverse problem of determining the unknown coefficient on the right side of the Burger’s types parabolic equation Direct problems for the Burger’s equation are considered in the works L. K.Martinson, J.Whitham and others. An additional condition for finding the unknown coefficient, which depends on the variable time, is given in integral form. Theorem on the uniqueness and stability of the solution was proved. |
| Keywords: inverse problem, parabolic equation of Burger’s type, the unknown coefficient on the right side, Hadamard ill-posed problems, uniqueness, conditional stability |
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| DOI: https://doi.org/10.30546/MaCoSEP2025.089 |